Bilateral approximations for some Aitken-Steffensen-Hermite type methods of order three
Abstract We study the local convergence of some Aitken–Steffensen–Hermite type methods of order three. We obtain that under some reasonable…
Numerical Analysis
A unified treatment of the modified Newton and chord methods
Abstract The aim of this paper is to obtain a unified treatment of some iterative methods. We obtain some conditions…
On a Steffensen-Hermite method of order three
Abstract In this paper we study a third order Steffensen type method obtained by controlling the interpolation nodes in the…
On a Steffensen type method
Abstract We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show…
Bilateral approximations of solutions of equations by order three Steffensen-type methods
Abstract We study the convergence of a method of Steffensen-type, which is obtained from the Lagrange polynomial of inverse interpolation with…
Approximation of the roots of equations by Aitken-Steffensen-type monotonic sequences
Abstract We study the conditions under which the well-known Aitken-Steffensen method for solving equations leads to monotonic sequences whose terms…
Bilateral approximations of the roots of scalar equations by Lagrange-Aitken-Steffensen method of order three
Abstract We study the monotone convergence of two general methods of Aitken-Steffenssen type. These methods are obtained from the Lagrange…
On a third order iterative method for solving polynomial operator equations
Abstract We present a semilocal convergence result for a Newton-type method applied to a polynomial operator equation of degree (2).…
Observations concerning some approximation methods for the solutions of operator equations
Abstract (soon) AuthorsIon Păvăloiu KeywordsPDFScanned paper. PDF-LaTeX version of the paper. Cite this paper as:I. Păvăloiu, Observations concerning some approximation methods…
Solving the equations by interpolation
About this bookSummary of the book… (to be completed) CoverAuthorIon Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis TitleOriginal title (in…